2 293 141 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
35026030231303374085489	23	74.9	2020-07-06 13:09:42
48339405955613722857767	23	75.4	2024-12-06 14:47:48

ECM

Digits	B1	Curves
25	50000	220 / 280

Estimated T-Level: 23.9 ⓘ

TF below 2^74 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-04-21	INTERSHOP Communications	EC2D9169B48AEA60	0
Verified (Factored)	1999-03-15	Douglas A Jeeves	EC2D9169B48AEA60	2058997
Verified (Factored)	2018-04-29	kkmrkkblmbrbk	EC2D9169B48AEA60	1863257

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2020-07-06	M Miller	7CAFCBD29D0FDE67	1	678310	5	3
Verified (Factored)	2020-07-08	daveward2005	7CAFCBD29D0FDE67	1	328885	5	3
Verified	2024-12-06	Naegi Makoto	7CAFCBD29D0FDE67	2	2232295	5	3

History

Date	User	Type	Result
2024-12-06	Myles	CERT	PRP Certification Proof certified good
2024-12-06	Naegi Makoto	C-PRP	M2293141/35026030231303374085489/48339405955613722857767 : 7CAFCBD29D0FDE67 PRP proof power = 7 PRP: Verified Proof certified good
2024-12-06	Naegi Makoto	F-ECM	Factor: 48339405955613722857767 / (ECM curve 5, B1=78333, B2=86479575, Edwards Sigma=8737822074782340)
2020-07-08	daveward2005	C-PRP	M2293141/35026030231303374085489 : 7CAFCBD29D0FDE67 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-06	M Miller	C-PRP	M2293141/35026030231303374085489 : 7CAFCBD29D0FDE67 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-06	Sergey Nosov	F-ECM	Factor: 35026030231303374085489 / (ECM curve 2, B1=50000, B2=5000000)
2019-07-16	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-05-13	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-29	kkmrkkblmbrbk	C-LL	EC2D9169B48AEA60
2017-05-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-01-05	Joss	NF-PM1	B1=359641, B2=3596410, E=6
2015-11-03	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-12	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-12	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-03	Joss	NF-PM1	B1=140980
2014-06-11	Joss	NF-PM1	B1=112990
2013-12-06	Jerry Hallett	NF	no factor from 2^62 to 2^63
2012-05-12	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-17	Oscar Östlin	NF-PM1	B1=85000, B2=1742500, E=6
2010-12-02	Oscar Östlin	NF-PM1	B1=75011
2010-11-15	Joss	NF-PM1	B1=20000
2010-11-07	Joss	NF-PM1	B1=15000
2009-01-14	Sturle Sunde	NF	no factor from 2^60 to 2^61

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